A posteriori error estimations and convergence criteria in fast Fourier transform‐based computational homogenization

A stopping criterion for fast Fourier transform (FFT)-based iterative schemes in computational homogenization is proposed and investigated numerically. This based on the separate evaluation comparison of discretization iteration errors computed fields. Some estimators these are their performances assessed a set 2D problems frameworks both classical FFT-based methods that use modified version featured Green's operator. In particular, two novel strategies estimating error investigated: either using an image processing approach or transposing to setting constitutive relation well-established context finite element method. It then shown resulting leads better control global effective property compared residual scheme alone.